Determine whether the rings A Z5x2 1 and B Z5x2 x 1 are i

Determine whether the rings A:= Z₅/(x² + 1) and B:= Z₅/(x² + x ? 1) are isomorphic or not. Explain why

4. Determine whether the rings A Zso? 1) and B: EZslo x- 1) are isomorphic or not. Explain why

Solution

Here these rings are not isomorphic because these rings are not injective as on solving , in both rings, for two different values of x, output is a single value.